Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q88
Statement 1: The statement A →( B → A ) is equivalent to A →( A B ). Statement 2: The statement ∼[( A ∧ B ) →(∼ A B )] is a Tautology.
Statement $\displaystyle 1$ : The statement $\displaystyle \mathrm{A} \rightarrow(\mathrm{B} \rightarrow \mathrm{A})$ is
equivalent to $\displaystyle \mathrm{A} \rightarrow(\mathrm{A} \vee \mathrm{B})$.
Statement $\displaystyle 2$ : The statement $\displaystyle \sim[(\mathrm{A} \wedge \mathrm{B}) \rightarrow(\sim \mathrm{A} \vee \mathrm{B})]$ is a Tautology.
Official answer
(3)
Statement $\displaystyle 1$ is True, Statement $\displaystyle 2$ is False.
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.